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Lesson Posted on 26 Feb Number System CBSE/Class 10/Mathematics/Real numbers/Rational and irrational numbers

Janaki Saravanan S

I have 8 years experienced in teaching Mathematics in Reputed school in Thanjavur. Most of my students...

Number System: There are two majaor division in the Number System i.e. 1. Real Number System 2. Complex Number System Real Number System: (SYMBOL Is "R") It is a set that contains following sets as subset Natural Numbers: N = {1, 2, 3, ...} Whole Numbers: W = {0, 1, 2, 3...} Integers: Z = {..., -2,... read more

Number System:

There are two majaor division in the Number System

i.e.

1. Real Number System

2. Complex Number System

Real Number System: (SYMBOL Is "R")

It is a set that contains following sets as subset

Natural Numbers: N = {1, 2, 3, ...}

Whole Numbers: W = {0, 1, 2, 3...}

Integers: Z = {..., -2, -1, 0, 1, 2,...}

Rational Numbers: Q = {p/q : p,q∈Z, q≠0}

Irrational Numbers: π (pi), e, and square root of natural numbers which are not a perfect squares

Note:

N ⊂ W ⊂ Z ⊂ Q ⊂ R

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Comments Answered on 13/11/2016 Number System Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics

Mohammad Ali

Mathematics Tutor

It is simple. you are to find 3 rational numbers between 1/3 and 2/3. Multiply the numerator and denominator of both the fractions by such number that the difference (gap) between both the numerators is >=4. Here let us multiply by 6 since LCM of 2,3 = 6. So fractions become 6/18 and 12/18. So, three... read more

It is simple. you are to find 3 rational numbers between 1/3 and 2/3. Multiply the numerator and denominator of both the fractions by such number that the difference (gap) between both the numerators is >=4. Here let us multiply by 6 since LCM of 2,3 = 6. So fractions become 6/18 and 12/18. So, three rational numbers lying between them would be 7/18, 8/18,10/18. read less

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Answers 46 Comments Answered on 03/05/2017 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

What is the value of the rational number in decimal form: 42/100?

Abhishek Taneja

Tutor

0.42

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Answers 1 Comments Answered on 22/01/2017 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

0 is a rational number or irrational number?

Ramarao Nenavath

Maths & Science Tutor

Rational number : those are the numbers, which are in the form P/Q and Q should not be 0. So from the above definition 0 can be written as 0/ some number. So, 0 is a rational number. thank you

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Answers 1 Comments Answered on 03/05/2017 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

21/40 is terminating decimal or not?

Abhishek Taneja

Tutor

Terminating decimal.

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Answers 1 Comments Asked on 28/10/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

If a is a positive number and n is a positive integer greater than 1, prove that a power n is a rational number?

Answer

Asked on 28/10/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

What is the value of 0.3366 in rational number or p/q form?

Answer

Asked on 28/10/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

If a and b are two rational numbers, prove that a+b, a-b, ab are rational numbers. If b ? 0, show that... read more

If a and b are two rational numbers, prove that a+b, a-b, ab are rational numbers. If b ? 0, show that a/b is also a rational number? read less

Answer

Asked on 28/10/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

Find the value of a and b if 5 + square root of 6 / 5 - square root of 6 = a + b square root of 6?

Answer

Asked on 28/10/2016 Tuition/Class IX-X Tuition Tuition/Class IX-X Tuition/Mathematics Number System

What is the two rational numbers lying between 0.232323?. and 0.212121?. ?

Answer

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